If x = 11, then the value of x^{5}-12 x^{4}+12 x^{3}-12 x^{2}+12 x-1 is

SSC CGL Tier II 21 Sep 2014 Paper

Question : 25 of 100

Marks: +1, -0

If x = 11, then the value of

x^{5}-12 x^{4}+12 x^{3}-12 x^{2}+12 x-1

Solution:

(2)

x = 11

(Given)

∴ x^{5}-12 x^{4}+12 x^{3}-12 x^{2}+

12 x-1

=x^{5}-(11+1) x^{4}+(11+1) x^{3}-

(11+1) x^{2}+(11+1) x-1

=x^{5}-11 x^{4}-x^{4}+11 x^{3}+x^{3}-

11 x^{2}-x^{2}+11 x+x-1

When

x=11

=11^{5}-11^{5}-11^{4}+11^{4}+11^{3}-

11^{3}-11^{2}+11^{2}+11-1=10

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